A128585 Triangle read by rows: A007318^(-1) * A128541.

1, 0, 1, -1, -1, 2, 2, 0, -4, 3, -3, 2, 4, -9, 5, 4, -5, 0, 15, -20, 8, -5, 9, -10, -15, 45, -40, 13, 6, -14, 28, 0, -70, 112, -78, 21, -7, 20, -56, 42, 70, -224, 260, -147, 34, 8, -27, 96, -126, 0, 336, -624, 567, -272, 55, -9, 35, -150, 270, -210, -336, 1170, -1575, 1190, -495, 89

Offset: 1

Author

Gary W. Adamson, Mar 11 2007

Keywords

• tabl
• sign

Comments

Row sums = A039834: (1, 1, 0, -1, 2, -3, 5, -8, ...); binomial transform of A039834 = (1, 2, 3, 5, 8, 13, 21, ...).

Examples

			First few rows of the triangle
   1;
   0,   1;
  -1,  -1,   2;
   2,   0,  -4,   3;
  -3,   2,   4,  -9,   5;
   4,  -5,   0,  15, -20,   8;
  ...
		

Crossrefs

Cf. A007318, A039834, A128541, A130595.

Formula

Inverse binomial transform of A128541.

Matrix product A130595 * A128541. - Georg Fischer, Jun 01 2023

Extensions

a(35) corrected and more terms from Georg Fischer, Jun 01 2023